The graph of f^-1 (x) is called the inverse function of f (x). The relationship between the two is that the point (x,y) is on the graph of f (x) if and only if the point (y,x) is on the graph of f^-1 (x).
This means that if the point (2, 7) is on f (x), therefore the point (7, 2) is on f^-1 (x).
Answer: (7, 2)
Answer: The required point is (7, 2).
Step-by-step explanation: Given that the graph of f(x) has the point (2, 7).
We are to find one point that will be on the graph of [tex]f^{-1}(x).[/tex]
We know that
if a point (a, b) lies on the graph of a function g(x), then the point (b, a) will always lie on the the graph of the inverse function [tex]g^{-1}(x).[/tex]
Therefore, the one point that will lie on the graph of [tex]f^{-1}(x)[/tex] is (7, 2).
Thus, the required point is (7, 2).
